On 2-skeleta of hypercubes
Paul C. Kainen · The Art of Discrete and Applied Mathematics · 2020
It is shown that the 2-skeleton of the odd-d-dimensional hypercube can be decomposed into sd spheres and τd tori, where sd = (d − 1)2d − 4 and τd is asymptotically in the range (64/9)2d − 7 to (d − 1)(d − 3)2d − 7.